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  • Isometric - precise screen coordinates to isometric

    - by Rawrz
    I'm trying to translate mouse coords to precise isometric coords (I can already find the tile the mouse is over, but I want it to be more precise). I've tried several different methods but I seem to keep falling short. For drawing I use: batch.draw( texture, (y * tileWidth / 2) + (x * tileWidth / 2), (x * tileHeight / 2) - (y * tileHeight / 2)) This is what I currently use for figuring out a tile position: float xt = x + camPosition.x - (ScreenWidth/2) ; float yt = (ScreenHeight) - y + camPosition.y - (ScreenHeight/2); int tileY = Math.round((((xt) / tileWidth) - ((yt) / tileHeight))); int tileX = Math.round((((xt) / tileWidth) + ((yt) / tileHeight))- 1); I'm just wondering how I could update these to allow for more precise coordinates, instead of tile only. EDIT: Following what ccxvii said below, and removing the -1 from tileX, the object follows my mouse just like I had wanted. Just going to re-examine the math and figure out if that change will result in other messes =o

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  • Third-Grade Math Class

    - by andyleonard
    An Odd Thing Happened... ... when I was in third grade math class: I was handed a sheet of arithmetic problems to solve. There were maybe 20 problems on the page and we were given the remainder of the class to complete them. I don't remember how much time remained in the class, I remember I finished working on the problems before my classmates. That wasn't the odd part. The odd part was that I started working on the first problem, concentrating pretty hard. I worked the sum and moved to the next...(read more)

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  • Raycasting tutorial / vector math question

    - by mattboy
    I'm checking out this nice raycasting tutorial at http://lodev.org/cgtutor/raycasting.html and have a probably very simple math question. In the DDA algorithm I'm having trouble understanding the calcuation of the deltaDistX and deltaDistY variables, which are the distances that the ray has to travel from 1 x-side to the next x-side, or from 1 y-side to the next y-side, in the square grid that makes up the world map (see below screenshot). In the tutorial they are calculated as follows, but without much explanation: //length of ray from one x or y-side to next x or y-side double deltaDistX = sqrt(1 + (rayDirY * rayDirY) / (rayDirX * rayDirX)); double deltaDistY = sqrt(1 + (rayDirX * rayDirX) / (rayDirY * rayDirY)); rayDirY and rayDirX are the direction of a ray that has been cast. How do you get these formulas? It looks like pythagorean theorem is part of it, but somehow there's division involved here. Can anyone clue me in as to what mathematical knowledge I'm missing here, or "prove" the formula by showing how it's derived?

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  • How does a website like Mathway work?

    - by Bob
    I recently found a website called Mathway Basically, it works by allowing you to choose your "level of math" (which it uses to determine what tools it should provide to you) and then allows you to input a math problem which it then solves for you, and gives you detailed solutions (you have to try it, it's really cool). I was wondering how it worked on two levels. First off, how would they parse the math problem (and all the sometimes foreign mathematical operators)? How do they get from text to numbers, variables, and operators? Second, how do they generate the explanations? While you have to pay for the detailed solutions (which are explanations of how they solved the problem), I've seen their preview screenshots, and it looks very detailed. The explanations are given in full, accurate sentences. How would they generate something like that?

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  • How to prepare for the GRE Computer Science Subject Test?

    - by Maddy.Shik
    How do I prepare for the GRE Computer Science subject test? Are there any standard text books I should follow? I want to score as competitively as possible. What are some good references? Is there anything that top schools like CMU, MIT, and Standford would expect? For example, Cormen et al is considered very good for algorithms. Please tell me standard text books for each subject covered by the test, like Computer Architecture, Database Design, Operating Systems, Discrete Maths etc.

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  • How to best prepare for the GRE Computer Science Subject Test?

    - by Maddy.Shik
    How do I prepare for the GRE Computer Science subject test? Are there any standard text books I should follow? I want to score as competitively as possible. What are some good references? Is there anything that top schools like CMU, MIT, and Standford would expect? For example, Cormen et al is considered very good for algorithms. Please tell me standard text books for each subject covered by the test, like Computer Architecture, Database Design, Operating Systems, Discrete Maths etc.

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  • Does it help to be core programmer of a product (meant for social good) for getting into a PhD program at a top university?

    - by Maddy.Shik
    Hey i am working upon a product as core developer which will be launched in USA market in few months if successful. Can this factor improve my chances for getting accepted into a PhD program at a top university (say top 20 in US)? Normally good universities like CMU, Standford, MIT, Cornell are more interested in student's profile like research work, undergraduate school, etc. I am now passed out from very good university it's ranked in top 20 of India only. Neither did I do research work till now. But being one of founding member of company and developing product for same, I want to know if this factor can help and to what extent.

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  • How long should one wait before going for a MS?

    - by Jungle Hunter
    Removed duplicate aspects of the question Hi! I'm an undergraduate Master's student. I've what seems to be a good offer in hand in Singapore (if location plays a role). Is an undergraduate Master's good enough for a Master's or one should go for MS? How much time should one wait (in their job) before going for a MS if that's the decision? Does one lose the progress which one makes while at the job before the Master's? Note: Undergraduate Master's is when my degree is called Master's but it is my first degree. This one is a four year one.

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  • Rotate a vector by given degrees (errors when value over 90)

    - by Ivan
    I created a function to rotate a vector by a given number of degrees. It seems to work fine when given values in the range -90 to +90. Beyond this, the amount of rotation decreases, i.e., I think objects are rotating the same amount for 80 and 100 degrees. I think this diagram might be a clue to my problem, but I don't quite understand what it's showing. Must I use a different trig function depending on the radians value? The programming examples I've been able to find look similar to mine (not varying the trig functions). Vector2D.prototype.rotate = function(angleDegrees) { var radians = angleDegrees * (Math.PI / 180); var ca = Math.cos(radians); var sa = Math.sin(radians); var rx = this.x*ca - this.y*sa; var ry = this.x*sa + this.y*ca; this.x = rx; this.y = ry; };

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  • Masters vs. PhD - long [closed]

    - by Sterling
    I'm 21 years old and a first year master's computer science student. Whether or not to continue with my PhD has been plaguing me for the past few months. I can't stop thinking about it and am extremely torn on the issue. I have read http://www.cs.unc.edu/~azuma/hitch4.html and many, many other masters vs phd articles on the web. Unfortunately, I have not yet come to a conclusion. I was hoping that I could post my ideas about the issue on here in hopes to 1) get some extra insight on the issue and 2) make sure that I am correct in my assumptions. Hopefully having people who have experience in the respective fields can tell me if I am wrong so I don't make my decision based on false ideas. Okay, to get this topic out of the way - money. Money isn't the most important thing to me, but it is still important. It's always been a goal of mine to make 6 figures, but I realize that will probably take me a long time with either path. According to most online salary calculating sites, the average starting salary for a software engineer is ~60-70k. The PhD program here is 5 years, so that's about 300k I am missing out on by not going into the workforce with a masters. I have only ever had ~1k at one time in my life so 300k is something I can't even really accurately imagine. I know that I wouldn't have at once obviously, but just to know I would be earning that is kinda crazy to me. I feel like I would be living quite comfortably by the time I'm 30 years old (but risk being too content too soon). I would definitely love to have at least a few years of my 20s to spend with that kind of money before I have a family to spend it all on. I haven't grown up very financially stable so it would be so nice to just spend some money…get a nice car, buy a new guitar or two, eat some good food, and just be financially comfortable. I have always felt like I deserved to make good money in my life, even as a kid growing up, and I just want to have it be a reality. I know that either path I take will make good money by the time I'm ~40-45 years old, but I guess I'm just sick of not making money and am getting impatient about it. However, a big idea pushing me towards a PhD is that I feel the masters path would give me a feeling of selling out if I have the capability to solve real questions in the computer science world. (pretty straight-forward - not much to elaborate on, but this is a big deal) Now onto other aspects of the decision. I originally got into computer science because of programming. I started in high school and knew very soon that it was what I wanted to do for a career. I feel like getting a masters and being a software engineer in the industry gives me much more time to program in my career. In research, I feel like I would spend more time reading, writing, trying to get grant money, etc than I would coding. A guy I work with in the lab just recently published a paper. He showed it to me and I was shocked by it. The first two pages was littered with equations and formulas. Then the next page or so was followed by more equations and formulas that he derived from the previous ones. That was his work - breaking down and creating all of these formulas for robotic arm movement. And whenever I read computer science papers, they all seem to follow this pattern. I always pictured myself coding all day long…not proving equations and things of that nature. I know that's only one part of computer science research, but that part bores me. A couple cons on each side - Phd - I don't really enjoy writing or feel like I'm that great at technical writing. Whenever I'm in groups to make something, I'm always the one who does the large majority of the work and then give it to my team members to write up a report. Presenting is different though - I don't mind presenting at all as long as I have a good grasp on what I am presenting. But writing papers seems like such a chore to me. And because of this, the "publish or perish" phrase really turns me off from research. Another bad thing - I feel like if I am doing research, most of it would be done alone. I work best in small groups. I like to have at least one person to bounce ideas off of when I am brainstorming. The idea of being a part of some small elite group to build things sounds ideal to me. So being able to work in small groups for the majority of my career is a definite plus. I don't feel like I can get this doing research. Masters - I read a lot online that most people come in as engineers and eventually move into management positions. As of now, I don't see myself wanting to be a part of management. Lets say my company wanted to make some new product or system - I would get much more pride, enjoyment, and overall satisfaction to say "I made this" rather than "I managed a group of people that made this." I want to be a big part of the development process. I want to make things. I think it would be great to be more specialized than other people. I would rather know everything about something than something about everything. I always have been that way - was a great pitcher during my baseball years, but not so good at everything else, great at certain classes in school, but not so good at others, etc. To think that my career would be the same way sounds okay to me. Getting a PhD would point me in this direction. It would be great to be some guy who is someone that people look towards and come to ask for help because of being such an important contributor to a very specific field, such as artificial neural networks or robotic haptic perception. From what I gather about the software industry, being specialized can be a very bad thing because of the speed of the new technology. I When it comes to being employed, I have pretty conservative views. I don't want to change companies every 5 years. Maybe this is something everyone wishes, but I would love to just be an important person in one company for 10+ (maybe 20-25+ if I'm lucky!) years if the working conditions were acceptable. I feel like that is more possible as a PhD though, being a professor or researcher. The more I read about people in the software industry, the more it seems like most software engineers bounce from company to company at rapid paces. Some even work like a hired gun from project to project which is NOT what I want AT ALL. But finding a place to make great and important software would be great if that actually happens in the real world. I'm a very competitive person. I thrive on competition. I don't really know why, but I have always been that way even as a kid growing up. Competition always gave me a reason to practice that little extra every night, always push my limits, etc. It seems to me like there is no competition in the research world. It seems like everyone is very relaxed as long as research is being conducted. The only competition is if someone is researching the same thing as you and its whoever can finish and publish first (but everyone seems to careful to check that circumstance). The only noticeable competition to me is just with yourself and your own discipline. I like the idea that in the industry, there is real competition between companies to put out the best product or be put out of business. I feel like this would constantly be pushing me to be better at what I do. One thing that is really pushing me towards a PhD is the lifetime of the things you make. I feel like if you make something truly innovative in the industry…just some really great new application or system…there is a shelf-life of about 5-10 years before someone just does it faster and more efficiently. But with research work, you could create an idea or algorithm that last decades. For instance, the A* search algorithm was described in 1968 and is still widely used today. That is amazing to me. In the words of Palahniuk, "The goal isn't to live forever, its to create something that will." Over anything, I just want to do something that matters. I want my work to help and progress society. Seriously, if I'm stuck programming GUIs for the next 40 years…I might shoot myself in the face. But then again, I hate the idea that less than 1% of the population will come into contact with my work and even less understand its importance. So if anything I have said is false then please inform me. If you think I come off as a masters or PhD, inform me. If you want to give me some extra insight or add on to any point I made, please do. Thank you so much to anyone for any help.

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  • Is it a bad idea to get a Master's and Bachelor's Degree from the same university?

    - by sahhhm
    I'm getting close to graduation and am strongly considering continuing to a Master's Program. My long-term goal for the future is to stay in industry rather than pursuing a Ph.D/Academic career. While communicating these thoughts with some of my peers, I've been told that staying in the same University for both a Bachelor's and Master's degree is ill-advisable. The reasons seem to be based along the lines of lack of exposure to other opportunities, programs, and faculty. My question is, if I intend to pursue a career outside of the Ph.D/Academic spectrum, will staying at the same university for my master's really decrease my value in software related positions? If so (or if not), why?

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  • How to prepare for the GRE Computer Science Subject Test?

    - by Maddy.Shik
    How do I prepare for the GRE Computer Science subject test? Are there any standard text books I should follow? I want to score as competitively as possible. What are some good references? Is there anything that top schools like CMU, MIT, and Standford would expect? For example, Cormen et al is considered very good for algorithms. Please tell me standard text books for each subject covered by the test, like Computer Architecture, Database Design, Operating Systems, Discrete Maths etc.

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  • How you choose your first job as a programmer? [on hold]

    - by sliter
    For Brief I am a recently graduated CS student. I am looking for a job these days, but I have no idea what kind of software development jobs I like(embedded system,web development or else...). And I am looking for your advice. Here is a little more While I was a student, I had an one year internship experience as a system engineer in a semi-conductor company where I wrote Linux driver, tuned system performance, etc.. I was happy about this experience as it allowed me to deepen my understanding of the operating system and different low level things. And I thought "Em, I will continue in the embedded area after I graduate". At the end of my study, I am doing an another internship in web development, both front-end and back-end. And I also enjoys a lot the process of learning new things and making it work (Backbone, Node, socketio, etc..). Now, when I am looking for a software development position, I do not know what to apply! All I know is that I want a job which allows me to keep up with the trends instead of repeating. But besides this, I've no idea what specific type of job I want to do. Turn back to embedded system? Continue with web development? Change to other promising areas(data mining)? All these development positions makes no big difference to me. But I think this is not good and I need some criteria at choosing. So I am looking for advice and I would really appreciate if you can share your experience.

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  • Math behind multivariate testing for website optimization

    - by corkjack
    I am looking for theoretical resources (books, tutorials, etc.) to learn about making sound statistical inferences given (plenty of) multivariate website conversion data. I'm after the math involved, and cannot find any good non-marketing stuff on the web. The sort of questions I want to answer: how much impact does a single variable (e.g. color of text) have? what is the correlation between variables? what type of distribution is used for modelling (Gaussian, Binomial, etc.)? When using statistics to analyze results - what should be considered as a random variable - the web-page element that gets different variations or the binary conversion-or-no-conversion outcome of an impression? There's plenty of information about different website optimization testing methods and their benefits\pitfalls, plenty of information about multivariate statistics in general, do you guys know of resources that discuss statistics in this specific context of website optimization ? Thanks for any info!

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  • In 3D camera math, calculate what Z depth is pixel unity for a given FOV

    - by badweasel
    I am working in iOS and OpenGL ES 2.0. Through trial and error I've figured out a frustum to where at a specific z depth pixels drawn are 1 to 1 with my source textures. So 1 pixel in my texture is 1 pixel on the screen. For 2d games this is good. Of course it means that I also factor in things like the size of the quad and the size of the texture. For example if my sprite is a quad 32x32 pixels. The quad size is 3.2 units wide and tall. And the texcoords are 32 / the size of the texture wide and tall. Then the frustum is: matrixFrustum(-(float)backingWidth/frustumScale,(float)backingWidth/frustumScale, -(float)backingHeight/frustumScale, (float)backingHeight/frustumScale, 40, 1000, mProjection); Where frustumScale is 800 for a retina screen. Then at a distance of 800 from camera the sprite is pixel for pixel the same as photoshop. For 3d games sometimes I still want to be able to do this. But depending on the scene I sometimes need the FOV to be different things. I'm looking for a way to figure out what Z depth will achieve this same pixel unity for a given FOV. For this my mProjection is set using: matrixPerspective(cameraFOV, near, far, (float)backingWidth / (float)backingHeight, mProjection); With testing I found that at an FOV of 45.0 a Z of 38.5 is very close to pixel unity. And at an FOV of 30.0 a Z of 59.5 is about right. But how can I calculate a value that is spot on? Here's my matrixPerspecitve code: void matrixPerspective(float angle, float near, float far, float aspect, mat4 m) { //float size = near * tanf(angle / 360.0 * M_PI); float size = near * tanf(degreesToRadians(angle) / 2.0); float left = -size, right = size, bottom = -size / aspect, top = size / aspect; // Unused values in perspective formula. m[1] = m[2] = m[3] = m[4] = 0; m[6] = m[7] = m[12] = m[13] = m[15] = 0; // Perspective formula. m[0] = 2 * near / (right - left); m[5] = 2 * near / (top - bottom); m[8] = (right + left) / (right - left); m[9] = (top + bottom) / (top - bottom); m[10] = -(far + near) / (far - near); m[11] = -1; m[14] = -(2 * far * near) / (far - near); } And my mView is set using: lookAtMatrix(cameraPos, camLookAt, camUpVector, mView); * UPDATE * I'm going to leave this here in case anyone has a different solution, can explain how they do it, or why this works. This is what I figured out. In my system I use a 10th scale unit to pixels on non-retina displays and a 20th scale on retina displays. The iPhone is 640 pixels wide on retina and 320 pixels wide on non-retina (obsolete). So if I want something to be the full screen width I divide by 20 to get the OpenGL unit width. Then divide that by 2 to get the left and right unit position. Something 32 units wide centered on the screen goes from -16 to +16. Believe it or not I have an excel spreadsheet do all this math for me and output all the vertex data for my sprite sheet. It's an arbitrary thing I made up to do .1 units = 1 non-retina pixel or 2 retina pixels. I could have made it .01 units = 2 pixels and someday I might switch to that. But for now it's the other. So the width of the screen in units is 32.0, and that means the left most pixel is at -16.0 and the right most is at 16.0. After messing a bit I figured out that if I take the [0] value of an identity modelViewProjection matrix and multiply it by 16 I get the depth required to get 1:1 pixels. I don't know why. I don't know if the 16 is related to the screen size or just a lucky guess. But I did a test where I placed a sprite at that calculated depth and varied the FOV through all the valid values and the object stays steady on screen with 1:1 pixels. So now I'm just calculating the unityDepth that way. If someone gives me a better answer I'll checkmark it.

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  • Documenting mathematical logic in code

    - by Kiril Raychev
    Sometimes, although not often, I have to include math logic in my code. The concepts used are mostly very simple, but the resulting code is not - a lot of variables with unclear purpose, and some operations with not so obvious intent. I don't mean that the code is unreadable or unmaintainable, just that it's waaaay harder to understand than the actual math problem. I try to comment the parts which are hardest to understand, but there is the same problem as in just coding them - text does not have the expressive power of math. I am looking for a more efficient and easy to understand way of explaining the logic behind some of the complex code, preferably in the code itself. I have considered TeX - writing the documentation and generating it separately from the code. But then I'd have to learn TeX, and the documentation will not be in the code itself. Another thing I thought of is taking a picture of the mathematical notations, equations and diagrams written on paper/whiteboard, and including it in javadoc. Is there a simpler and clearer way? P.S. Giving descriptive names(timeOfFirstEvent instead of t1) to the variables actually makes the code more verbose and even harder too read.

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  • How do I become better in math, after being a programmer for several years.

    - by loxs
    I've had quite a weird career till now. First I graduated from a medical school. Then I went into marketing (pharmaceuticals). And then umm, after some time, I decided to go for my (till then) hobby and became a "professional" programmer. I've been quite successful at this ever since. I have quite some languages "under my belt". I earn not bad and I have been involved in the opensource community quite heavily. The thing is that I suck at math :). Well, not totally of course, as I get my work done. But I don't know how much I suck. And I don't know how to find out. Math has never really been of any priority during my middle/high school years. I only picked as little as I could afford, because I was always getting ready to go for Medicine. Of course I know the basics of algebra. Things like "normal" and square equations. Also the basics of geometry. But well, there are things that I have missed. And lately I am being fascinated by things like probability theory, infinity, chaos/order etc. But every time I try to learn something about these topics, I hit a wall of terminology, special symbols, and some special kind of thinking, that is quite like mine (a programmer), but also a lot different (and appears weird to me). So, what kinds of books would you recommend me? It's very hard to find something suitable. All that I find are either too easy (and boring) or totally impenetrable.

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  • Some date math fun

    - by drsql
    Note: This concept presented is pretty simple and I am not claiming that I am the first to do this… so if you were the one who came up with this, let me know and I will give you linkage Today I was needing to get the data for the current month for a query, and it hit me that I really didn’t have a good way to do this.  There were two common methods that people use: WHERE YEAR(MonthColumn) = YEAR(Getdate()) AND MONTH(MonthColumn) = MONTH(Getdate()) But this particular method is pretty horrible...(read more)

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  • Some date math fun

    - by drsql
    Note: This concept presented is pretty simple and I am not claiming that I am the first to do this… so if you were the one who came up with this, let me know and I will give you linkage Today I was needing to get the data for the current month for a query, and it hit me that I really didn’t have a good way to do this.  There were two common methods that people use: WHERE YEAR(MonthColumn) = YEAR(Getdate()) AND MONTH(MonthColumn) = MONTH(Getdate()) But this particular method is pretty horrible...(read more)

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